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Finding the Fourth Proportional to 290.13, 435.83 and 280.41

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Solution

The fourth proportional to 290.13, 435.83 and 280.41 is: 421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.13 : 435.83 = 280.41 : x
  2. Step 2: Convert to fraction form
    290.13/435.83 = 280.41/x
  3. Step 3: Cross multiply
    290.13x = 435.83 × 280.41
  4. Step 4: Simplify right side
    290.13x = 122,212.08
  5. Step 5: Solve for x
    x = 122,212.08/290.13
  6. Step 6: Final answer
    x = 421.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.